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385941 = 31031249
BaseRepresentation
bin1011110001110010101
3201121102010
41132032111
544322231
612134433
73165123
oct1361625
9647363
10385941
11243a66
12167419
1310688a
14a0913
1579546
hex5e395

385941 has 8 divisors (see below), whose sum is σ = 520000. Its totient is φ = 254592.

The previous prime is 385939. The next prime is 385943. The reversal of 385941 is 149583.

It can be divided in two parts, 385 and 941, that added together give a triangular number (1326 = T51).

It is an interprime number because it is at equal distance from previous prime (385939) and next prime (385943).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 385941 - 21 = 385939 is a prime.

It is a Duffinian number.

385941 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 385899 and 385908.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385941.

It is not an unprimeable number, because it can be changed into a prime (385943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316 + ... + 933.

It is an arithmetic number, because the mean of its divisors is an integer number (65000).

2385941 is an apocalyptic number.

It is an amenable number.

385941 is a deficient number, since it is larger than the sum of its proper divisors (134059).

385941 is a wasteful number, since it uses less digits than its factorization.

385941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355.

The product of its digits is 4320, while the sum is 30.

The square root of 385941 is about 621.2414989358. The cubic root of 385941 is about 72.8070843044.

The spelling of 385941 in words is "three hundred eighty-five thousand, nine hundred forty-one".

Divisors: 1 3 103 309 1249 3747 128647 385941